Relations between G-sets and their associate G^{\hat}-sets

In this paper, we define and consider G-set on\Gamma-semihypergroups and we obtain relations between G-setsand their associate \widehat{G}-sets where G is a\Gamma-semihypergroup and \widehat{G} is an associatedsemihypergroup. Finally, we obtain the relation between direct limit of \widehat{G}-sets from the direct limit defined on G-sets.

Keywords:

Gamma-semihypergroup , G-set , G^{hat}-set , direct limit